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Inverse problem for interior spectral data of the Sturm – Liouville operator
-
K. Mochizuki
und
I. Trooshin
Veröffentlicht/Copyright:
7. September 2013
Abstract
- In this paper inverse problems for the Sturm-Liouville operator are studied. A set of values of the logarithmic derivative of eigenfunctions at some internal point and parts of two spectra are taken as data. Uniqueness theorems are obtained. The approach that was used in investigation of problems with partially known potential is employed.
Published Online: 2013-09-07
Published in Print: 2001-08
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
Artikel in diesem Heft
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
